Symmetry under test
Before proof, the pair ⟨👁A, 👁B⟩ is balanced. A condition steps in and asks whether the balance holds. Proof is what breaks that balance — a test that leans one way. Once the tilt appears, relation begins to move. The condition holds the rule of that movement.
Example of a condition
Take a simple rule: if the sun is not shining then the light is on. The condition tests a pair — weather and lamp. When the first term is false, the second must hold true. The line moves as 👁Sun ⇒ 👁Light. It is a one-way relation under a clear test of fit.
Proof and counter-falsification
A proof settles one direction. It says the condition holds and licences motion that way. A counter-falsification can strike it down, reversing the tilt. The relation then swings back to unresolved symmetry. Proof and falsification form the dynamic of movement around the condition.
Empirical reading
In observation, balance is fragile. Two identical twins taught in the same way may draw the same conclusion — we treat that with caution. It may be mere cultural symmetry. Yet when two researchers from different traditions or two contrasting experiments converge on the same result, confidence rises. Truth strengthens through contrastive convergence, not sameness.
Closure and return
Once a direction stands without contradiction, the licence closes into a return. We can write it as 👁A ⇒ 👁B. That closure marks coherence. It is no longer a free tilt but a resolved structure under the rule of its condition.